Logarithms 14 - Change of Base

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
7384 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Description:

Develops and uses the change of base formula for logs. .

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Questions answered by this video:
  • What is the change of base formula for logarithms?
  • How can you use the change of base formula for logarithms?
  • How do you derive the change of base formula for logs?
  • Why does the change of base formula for logarithms work?
  • How can you evaluate log base 2 of 11 using the change of base formula and a calculator?
  • How can you evaluate log base 3 of 20 using the change of base formula and a calculator?
  • How can you evaluate log base 1/2 of 18 using the change of base formula and a calculator?
  • How can you evaluate log base 4 of 5/6 using the change of base formula and a calculator?
  • How can you check your answer to a change of base logarithm problem?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains the very important change of base formula for logarithms. It is derived and explained, and then it is used to simplify / evaluate several example problems. Because calculators can only compute logarithms for base 10 or base e, the change of base formula is very useful for computing logarithms for other bases. All steps are shown and explained along with a way of checking your solution.